Fixed‐time output stabilization and fixed‐time estimation of a chain of integrators

Abstract

Summary A solution to the problem of global fixed‐time output stabilization and estimation of a chain of integrators is proposed. A nonlinear scheme comprising a state feedback controller and a dynamic observer are designed to guarantee both fixed‐time estimation and fixed‐time control. Robustness with respect to exogenous disturbances and measurement noises is established, and a parameter optimization algorithm is provided. The performance of the obtained control and estimation algorithms are illustrated by numeric experiments.